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Finding the Third Proportional to 200,429,380.13 and 419,184,713.25

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Solution

The third proportional to 200,429,380.13 and 419,184,713.25 is: 876,696,937.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429,380.13 : 419,184,713.25 = 419,184,713.25 : x
  2. Step 2: Convert to fraction form
    200,429,380.13/419,184,713.25 = 419,184,713.25/x
  3. Step 3: Cross multiply
    200,429,380.13x = 419,184,713.25 × 419,184,713.25
  4. Step 4: Simplify right side
    200,429,380.13x = 175,715,823,822,484,736
  5. Step 5: Solve for x
    x = 175,715,823,822,484,736/200,429,380.13
  6. Step 6: Final answer
    x = 876,696,937.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.